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lfunc_lfunctions • Show schema
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{'Lhash': '2854356728406233548982734663627', 'a10': [0.7949005608353518, -2.6694057475838466], 'a2': [0.30119477398380096, -1.3817676027917456], 'a3': [2.7162401382635344, 1.8519011694507617], 'a4': [-1.8185634162496942, -0.8323623616419964], 'a5': [1.9639591377389198, 0.14717839079435108], 'a6': [3.3770143740492222, -3.1954296702820644], 'a7': [-2.2281771332094555, -1.4266137049119119], 'a8': [-1.697873142232673, 2.262128818808723], 'a9': [2.85239947420162, 7.267795331186062], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5650678796170963, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.30119477398380096, 1.3817676027917456]]], [7, [[1.0, 0], [2.2281771332094555, 1.4266137049119119]]]], 'bad_primes': [2, 7], 'central_character': '196.103', 'coefficient_field': 'CDF', 'conductor': 196, 'conductor_radical': 14, 'conjugate': '3087207110554790278557158805571', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0744226544373', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.25169043259422713892605854663', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.48077222779893102072130200406', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.47157298235666362998483699341', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.5650678796170963, 'bad_primes': [2, 7], 'central_character': '196.103', 'conductor': 196, 'conductor_radical': 14, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/196/2/p/a/103/16'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-14e2-196.103-c1-0-17', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-14e2-196.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.251026730176896, 'root_angle': 0.07442265443729199, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.25169043259422713892605854663', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2854356728406233548982734663627', 'Lhash_array': ['2854356728406233548982734663627'], 'factors': ['2-14e2-196.103-c1-0-17'], 'label': '2-14e2-196.103-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/196/2/p/a/103/16'}